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10/25/2022
Numerical surgery for mean curvature flow of surfaces
A numerical algorithm for mean curvature flow of surfaces with surgery i...
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08/17/2022
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints
An error estimate for a canonical discretization of the harmonic map hea...
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04/08/2022
Viscoelastic Cahn–Hilliard models for tumour growth
We introduce a new phase field model for tumour growth where viscoelasti...
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02/07/2022
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces
An evolving surface finite element discretisation is analysed for the ev...
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12/20/2021
Error estimates for a splitting integrator for semilinear boundary coupled systems
We derive a numerical method, based on operator splitting, to abstract p...
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08/18/2021
Bulk-surface Lie splitting for parabolic problems with dynamic boundary conditions
This paper studies bulk-surface splitting methods of first order for (se...
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07/22/2021
A convergent finite element algorithm for mean curvature flow in higher codimension
Optimal-order uniform-in-time H^1-norm error estimates are given for sem...
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06/15/2021
Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems
Maximal parabolic L^p-regularity of linear parabolic equations on an evo...
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03/16/2021
Time-dependent electromagnetic scattering from thin layers
The scattering of electromagnetic waves from obstacles with wave-materia...
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10/21/2020
A convergent finite element algorithm for generalized mean curvature flows of closed surfaces
An algorithm is proposed for generalized mean curvature flow of closed t...
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07/30/2020
A convergent evolving finite element algorithm for Willmore flow of closed surfaces
A proof of convergence is given for a novel evolving surface finite elem...
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06/03/2020
Error estimates for general non-linear Cahn-Hilliard equations on evolving surfaces
In this paper, we consider the Cahn-Hilliard equation on evolving surfac...
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05/07/2020
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions
A proof of convergence is given for bulk–surface finite element semi-dis...
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12/11/2019
A convergent algorithm for mean curvature flow driven by diffusion on the surface
The evolution of a closed two-dimensional surface driven by both mean cu...
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10/20/2018
Learning Material-Aware Local Descriptors for 3D Shapes
Material understanding is critical for design, geometric modeling, and a...
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05/02/2017